20x^3y^2-8x^3-12x^2y=0

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Solution for 20x^3y^2-8x^3-12x^2y=0 equation:


Simplifying
20x3y2 + -8x3 + -12x2y = 0

Reorder the terms:
-12x2y + -8x3 + 20x3y2 = 0

Solving
-12x2y + -8x3 + 20x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(-3y + -2x + 5xy2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(-3y + -2x + 5xy2)' equal to zero and attempt to solve: Simplifying -3y + -2x + 5xy2 = 0 Reorder the terms: -2x + 5xy2 + -3y = 0 Solving -2x + 5xy2 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. -2x + 5xy2 + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 -2x + 5xy2 + 0 = 0 + 3y -2x + 5xy2 = 0 + 3y Remove the zero: -2x + 5xy2 = 3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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